Mathematics of Quantum Computation and Quantum Technology

This volume explores the recent mathematical advancements made in quantum computing and technology. It begins with topics in quantum computing that include quantum algorithms and hidden subgroups, quantum search, algorithmic complexity, and quantum simulation. The next section covers quantum technology, such as mathematical tools, quantum wave functions, SQUIDs, and optical quantum computing. The section on quantum information deals with error correction, cryptography, entanglement, and communication. The final part explores quantum topology, knot theory, category algebra, and logic. The book also includes recommendations for federal funding of mathematical research on quantum computing.

Research and development in the pioneering field of quantum computing involve just about every facet of science and engineering, including the significant areas of mathematics and physics. Based on the firm understanding that mathematics and physics are equal partners in the continuing study of quantum science, Mathematics of Quantum Computation and Quantum Technology explores the rapid mathematical advancements made in this field in recent years.

Novel Viewpoints on Numerous Aspects of Quantum Computing and Technology
Edited by a well-respected team of experts, this volume compiles contributions from specialists across various disciplines. It contains four main parts, beginning with topics in quantum computing that include quantum algorithms and hidden subgroups, quantum search, algorithmic complexity, and quantum simulation. The next section covers quantum technology, such as mathematical tools, quantum wave functions, superconducting quantum computing interference devices (SQUIDs), and optical quantum computing. The section on quantum information deals with error correction, cryptography, entanglement, and communication. The final part explores topological quantum computation, knot theory, category algebra, and logic.

The Tools You Need to Tackle the Next Generation of Quantum Technology
This book facilitates both the construction of a common quantum language and the development of interdisciplinary quantum techniques, which will aid efforts in the pursuit of the ultimate goal-a "real" scalable quantum computer.

Autorentext
Goong Chen, Louis Kauffman, Samuel J. Lomonaco

Inhalt
Preface. Quantum Computation. Quantum Technology. Quantum Information. Quantum Topology, Categorical Algebra, and Logic. Appendix. Index.